How to do use/show the graphs of trigonometric products and sums? I don't know where to even start on this. I know some about the products and sums, but nothing about putting them into graphs.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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How to do use/show the graphs of trigonometric products and sums? I don't know where to even start on this. I know some about the products and sums, but nothing about putting them into graphs.

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Step 1 Graphs of trigonometric products and sums

It's not easy to get the graph of product of 2 trigonometric quantities. However some of the products are easy but not all.

First step to draw the product of any 2 or 3 trigonometric quantities is that, that you have to simply that product.

Let us take some examples,

1) sin x·cos x 

But as we know that 

                                     sin 2x=2 sinx cosxsin x·cos x = 12sin 2x

It means now we have to draw the graph of sin 2x whose amplitude will be 1/2.

Graph of sin 2x with,

Geometry homework question answer, step 1, image 1

 

Similarly, 

2) cos x·tan x=sin x3) sin x·cot x=cos x4) sin x·sec x=tan x5) cos x·cos x=cos2x=1+cos 2x2

Therefore resultant of all the above products can be easily drawn in graph.

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